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Finding the Fourth Proportional to 5,628.48, 7,766.88 and 3,144

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Solution

The fourth proportional to 5,628.48, 7,766.88 and 3,144 is: 4,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.48 : 7,766.88 = 3,144 : x
  2. Step 2: Convert to fraction form
    5,628.48/7,766.88 = 3,144/x
  3. Step 3: Cross multiply
    5,628.48x = 7,766.88 × 3,144
  4. Step 4: Simplify right side
    5,628.48x = 24,419,070.72
  5. Step 5: Solve for x
    x = 24,419,070.72/5,628.48
  6. Step 6: Final answer
    x = 4,338.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.